Image Processing and Analysis_21_Scale Space:Scale-space theory A basic tool for analysing structure...

本文探讨了尺度空间滤波在现代不变特征提取中的关键作用,介绍了该理论的发展历程及重要贡献者,如Lowe与Lindeberg。文章强调了尺度空间理论作为一种基本工具,在分析不同尺度结构方面的应用价值。

此主要讨论图像处理与分析。虽然计算机视觉部分的有些内容比如特 征提取等也可以归结到图像分析中来,但鉴于它们与计算机视觉的紧密联系,以 及它们的出处,没有把它们纳入到图像处理与分析中来。同样,这里面也有一些 也可以划归到计算机视觉中去。这都不重要,只要知道有这么个方法,能为自己 所用,或者从中得到灵感,这就够了。

21. Scale Space
尺度空间滤波在现代不变特征中是一个非常重要的概念,有人说SIFT的提出者Lowe是不变特征之父,而Linderburg是不变特征之母。虽然尺度空间滤波是Witkin最早提出的,但其理论体系的完善和应用还是Linderburg的功劳。其在1998年IJCV上的两篇文章值得一读,不管是特征提取方面还是边缘检测方面。
[1987] Scale-space filtering
[1990 PAMI] Scale-Space for Discrete Signals
[1994 JAS] Scale-space theory A basic tool for analysing structures at different scales
[1998 IJCV] Edge Detection and Ridge Detection with Automatic Scale Selection
[1998 IJCV] Feature Detection with Automatic Scale Selection

 

翻译

尺度空间理论一种分析不同尺度结构的基本工具——http://tongtianta.site/paper/56734

作者:Tony Lindeberg

 

摘要 -

2025-10-23 09:29:49 - [MainThread] - INFO - (main.py:11) $ <module>) ::: start clean residual process... 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:RuntimeBroker.exe(PID:4900) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:wps.exe(PID:5396) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:wpscloudsvr.exe(PID:5964) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:RuntimeBroker.exe(PID:10816) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:RuntimeBroker.exe(PID:11464) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:RuntimeBroker.exe(PID:11612) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:wps.exe(PID:12296) 2025-10-23 09:29:49 - [MainThread] - INFO - (clean_process.py:15) $ clean_process) ::: Closing process:RuntimeBroker.exe(PID:14444) 2025-10-23 09:29:49 - [MainThread] - INFO - (main.py:14) $ <module>) ::: start agent... 2025-10-23 09:29:49 - [MainThread] - INFO - (server.py:39) $ restart) ::: restart ws 2025-10-23 09:29:49 - [MainThread] - INFO - (main.py:148) $ restart) ::: restart graph thread 2025-10-23 09:29:49 - [MainThread] - INFO - (main.py:153) $ restart) ::: start graph thread 2025-10-23 09:29:49 - [graph] - INFO - (main.py:49) $ init_graph) ::: load {'name': 'req_diff', 'type': 'req', 'desc': 'Requirement Diff Analysing, to compare requirement documents of two different versions', 'route_key': '需求差异分析(Requirement Diff Analysing)', 'steps': [{'node_name': 'req_diff_executor', 'funct_name': 'entry', 'module': 'robot.req_diff.entry'}]} 2025-10-23 09:29:49 - [Thread-4 (task_handler)] - INFO - (task_handler.py:2516) $ task_handler) ::: [task handler] sub thread start to run. 2025-10-23 09:29:49 - [ws] - INFO - (server.py:707) $ wrap) ::: server listening on 0.0.0.0:17011 2025-10-23 09:29:49 - [graph] - INFO - (main.py:49) $ init_graph) ::: load {'name': 'neo4j_diff', 'type': 'req', 'desc': 'Requirements Analysing, refers to a systematic process of analyzing a specific goal or issue to clarify its necessary conditions or critical elements', 'route_key': '要件分析(Requirement Analysing)', 'steps': [{'node_name': 'neo4j_diff_executor', 'funct_name': 'neo4j_diff', 'module': 'robot.neo4j_diff.neo4j_diff'}]} 2025-10-23 09:29:49 - [ws] - INFO - (server.py:63) $ _start_server) ::: WebSocket server started at ws://0.0.0.0:17011 2025-10-23 09:29:49 - [graph] - INFO - (main.py:49) $ init_graph) ::: load {'name': 'regulation_check', 'type': 'req', 'desc': 'Regulation Check, determine whether the change point requirements are compliant.', 'route_key': '合规性检查(Regulation Checking)', 'steps': [{'node_name': 'regulation_executor', 'funct_name': 'entry', 'module': 'robot.regulation_check.entry'}]} * Serving Flask app 'kotei_web_server.app' INFO: Started server process [12148] * Debug mode: on INFO: Waiting for application startup. INFO: Application startup complete. Exception in thread graph: INFO: Uvicorn running on http://0.0.0.0:17010 (Press CTRL+C to quit) Traceback (most recent call last): File "threading.py", line 1016, in _bootstrap_inner File "threading.py", line 953, in run 2025-10-23 09:29:50 - [Thread-3 (doc_web_server_main)] - INFO - (_internal.py:97) $ _log) ::: WARNING: This is a development server. Do not use it in a production deployment. Use a production WSGI server instead. * Running on all addresses (0.0.0.0) * Running on http://127.0.0.1:17012 * Running on http://192.168.192.146:17012 2025-10-23 09:29:50 - [Thread-3 (doc_web_server_main)] - INFO - (_internal.py:97) $ _log) ::: Press CTRL+C to quit File "kotei_agent\graph\main.py", line 122, in start_graph File "kotei_agent\graph\main.py", line 95, in init_graph File "importlib\__init__.py", line 126, in import_module File "<frozen importlib._bootstrap>", line 1050, in _gcd_import File "<frozen importlib._bootstrap>", line 1027, in _find_and_load File "<frozen importlib._bootstrap>", line 1006, in _find_and_load_unlocked File "<frozen importlib._bootstrap>", line 688, in _load_unlocked File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "robot\req_diff\entry.py", line 23, in <module> File "D:\RRM\Packages\release-20251023\diff-agent\_internal\kotei_omc\compare_parser.py", line 3, in <module> from kotei_omc.comparers.plugins import compare_plugins File "D:\RRM\Packages\release-20251023\diff-agent\_internal\kotei_omc\comparers\__init__.py", line 1, in <module> from kotei_omc.comparers import text_comparer File "D:\RRM\Packages\release-20251023\diff-agent\_internal\kotei_omc\comparers\text_comparer.py", line 5, in <module> from kotei_omc.middlewares.text_middlewares import CustomTextStrategyMiddleware File "D:\RRM\Packages\release-20251023\diff-agent\_internal\kotei_omc\middlewares\text_middlewares.py", line 8, in <module> from sklearn.feature_extraction.text import TfidfVectorizer File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "sklearn\__init__.py", line 73, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "sklearn\base.py", line 19, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "sklearn\utils\__init__.py", line 15, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "sklearn\utils\_chunking.py", line 11, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "sklearn\utils\_param_validation.py", line 14, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "scipy\sparse\__init__.py", line 300, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "scipy\sparse\_base.py", line 5, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "scipy\sparse\_sputils.py", line 10, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "scipy\_lib\_util.py", line 13, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "scipy\_lib\_array_api.py", line 18, in <module> File "PyInstaller\loader\pyimod02_importers.py", line 450, in exec_module File "scipy\_lib\array_api_compat\numpy\__init__.py", line 1, in <module> File "numpy\__init__.py", line 374, in __getattr__ ModuleNotFoundError: No module named 'numpy.f2py'
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